NASA NTRS · 19720032029
On implicit equations in nonlinear network analysis.
Abstract
Derivation of conditions for existence of unique solutions to implicit equations of the form y = f(x, u) or x = h(x, u) which are frequently encountered in the analysis of nonlinear networks. The existence of such solutions is demonstrated by applying the principle of contraction mapping and by ascertaining the possibility of a functional inversion according to the Palais (1959) theorem.
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Sathe, S. T.. 1972-01-01. On implicit equations in nonlinear network analysis.. https://ntrs.nasa.gov/citations/19720032029
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